Broadwell模型含粘性激波与粘性接触间断解的渐近稳定性
发布时间：2018-12-07 15:08
【摘要】：我们关注的是Broadwell模型系统的Cauchy问题的解在大时间范围内的渐近行为。当系统对应的守恒律的相应Riemann问题存在由接触间断和激波组成的解时,证明对于Broadwell模型系统,如果组合波的强度适当地小,则对应于接触间断的“激波”与激波的组合波解是大时间存在且渐近稳定的。这个结果通过使用基本能量方法证明。
[Abstract]:We focus on the asymptotic behavior of the solution of the Cauchy problem for the Broadwell model system in a large time range. When the corresponding Riemann problem of the corresponding conservation law of the system exists a solution consisting of contact discontinuity and shock wave, it is proved that for the Broadwell model system, if the intensity of the combined wave is properly small, The combined wave solution corresponding to the contact discontinuous "shock" and shock wave is large time and asymptotically stable. This result is proved by using the basic energy method.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
本文编号：2367379
[Abstract]:We focus on the asymptotic behavior of the solution of the Cauchy problem for the Broadwell model system in a large time range. When the corresponding Riemann problem of the corresponding conservation law of the system exists a solution consisting of contact discontinuity and shock wave, it is proved that for the Broadwell model system, if the intensity of the combined wave is properly small, The combined wave solution corresponding to the contact discontinuous "shock" and shock wave is large time and asymptotically stable. This result is proved by using the basic energy method.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
【参考文献】
相关期刊论文 前1条
1 黄飞敏;王勇;翟晓云;;STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY[J];Acta Mathematica Scientia;2010年06期
，本文编号：2367379
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